36° the adjacent angles 21 and 22 have measures of: 38, 142 76, 104 28, 152

Option "A" might be the correct option

Step-by-step explanation:

By the Angles of Intersecting Chords Theorem, When two chords intersect inside a circle, then the measure of the angle formed is one half the sum of chord's intercepted arcs.

In the diagram : -

⇒ ∠ 1 = 38°

Now, again by the diagram,

∠1 and ∠2 are linear pairs,

⇒ ∠1 + ∠2 = 180°

⇒ 38° + ∠2 = 180°

⇒ ∠2 = 142°

38,142.

Step-by-step explanation:

The measure of angle 1 = the sum of the measure of the 2 arcs / 2

= (36 + 40) / 2

= 38 degrees.

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